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17_equations [2024-05-20 14:39] – nik | 17_equations [2024-05-20 14:43] (current) – nik | ||
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$$a^2 + b^2 = c^2$$ | $$a^2 + b^2 = c^2$$ | ||
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=== Logarithms === | === Logarithms === | ||
$$log{xy} = log{x} + log{y}$$ | $$log{xy} = log{x} + log{y}$$ | ||
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=== Calculus === | === Calculus === | ||
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=== Newton’s Law of Gravity === | === Newton’s Law of Gravity === | ||
$${F}_\text{gravity}=G\frac{m_{1}m_{2}}{r^{2}}$$ | $${F}_\text{gravity}=G\frac{m_{1}m_{2}}{r^{2}}$$ | ||
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=== Complex Numbers === | === Complex Numbers === | ||
$$i^2=-1$$ | $$i^2=-1$$ | ||
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=== Euler’s Formula for Polyhedra === | === Euler’s Formula for Polyhedra === | ||
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=== Normal Distribution === | === Normal Distribution === | ||
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=== Wave Equation === | === Wave Equation === | ||
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=== Fourier Transform === | === Fourier Transform === | ||
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=== Navier-Stokes Equation === | === Navier-Stokes Equation === | ||
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=== Maxwell’s Equations === | === Maxwell’s Equations === | ||
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\end{aligned}$$ | \end{aligned}$$ | ||
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=== Second Law of Thermodynamics === | === Second Law of Thermodynamics === | ||
$$dS\geq0$$ | $$dS\geq0$$ | ||
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=== Relativity === | === Relativity === | ||
$$E=mc^2$$ | $$E=mc^2$$ | ||
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=== Schrodinger’s Equation === | === Schrodinger’s Equation === | ||
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=== Information Theory === | === Information Theory === | ||
$$H=-\sum p(x) + log{p(x)}$$ | $$H=-\sum p(x) + log{p(x)}$$ | ||
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=== Chaos Theory === | === Chaos Theory === | ||
$$x_{t+1} = kx_t(1-x_i)$$ | $$x_{t+1} = kx_t(1-x_i)$$ | ||
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=== Black-Scholes Equation === | === Black-Scholes Equation === | ||